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Simplifying 2[2 + -1j] = 4[j + 10] [2 * 2 + -1j * 2] = 4[j + 10] [4 + -2j] = 4[j + 10] Reorder the terms: 4 + -2j = 4[10 + j] 4 + -2j = [10 * 4 + j * 4] 4 + -2j = [40 + 4j] Solving 4 + -2j = 40 + 4j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-4j' to each side of the equation. 4 + -2j + -4j = 40 + 4j + -4j Combine like terms: -2j + -4j = -6j 4 + -6j = 40 + 4j + -4j Combine like terms: 4j + -4j = 0 4 + -6j = 40 + 0 4 + -6j = 40 Add '-4' to each side of the equation. 4 + -4 + -6j = 40 + -4 Combine like terms: 4 + -4 = 0 0 + -6j = 40 + -4 -6j = 40 + -4 Combine like terms: 40 + -4 = 36 -6j = 36 Divide each side by '-6'. j = -6 Simplifying j = -6
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